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学者姓名：许君雁
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Abstract ：
This paper investigates the pth moment exponential stability of impulsive stochastic delayed systems (ISDS). New stability criteria for ISDS are developed by applying the Razumikhin approach and a novel concept of average random impulsive estimation (ARIE). Stochastic impulsive strength, the time -varying delay in continuous dynamics, and the impulsive delay are considered simultaneously, and there are no imposed restrictions on their sizes. Utilizing ARIE, the proposed control scheme with stabilizing impulse can still ensure the stability of the whole system under the presence of impulsive perturbations at some impulsive instants, that is, it allows some impulsive intensities at impulsive instants are greater than 1 or a certain threshold which is more than 1. In addition, the requirement for the sign of time-derivative of Razumikhin function is also relaxed. Several illustrated examples are given to verify the effectiveness of our proposed results.
Keyword ：
Average random impulsive estimation Average random impulsive estimation Impulsive stochastic delayed system Impulsive stochastic delayed system pth Moment exponential stability pth Moment exponential stability
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| GB/T 7714 | Xu, Junyan , Liu, Yang , Meng, Qingxin et al. Unified stability criteria for impulsive stochastic delayed systems [J]. | NONLINEAR ANALYSIS-HYBRID SYSTEMS , 2024 , 52 . |
| MLA | Xu, Junyan et al. "Unified stability criteria for impulsive stochastic delayed systems" . | NONLINEAR ANALYSIS-HYBRID SYSTEMS 52 (2024) . |
| APA | Xu, Junyan , Liu, Yang , Meng, Qingxin , Cao, Jinde , Abdel-Aty, Mahmoud . Unified stability criteria for impulsive stochastic delayed systems . | NONLINEAR ANALYSIS-HYBRID SYSTEMS , 2024 , 52 . |
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In this paper, we probe the pth moment exponential stability (p-ES) - ES) of stochastic delayed systems subject to event-triggered delayed impulsive control (ETDIC), where the impulsive intensities are assumed to be positive random variables. Based on event-triggered mechanism (ETM) in the sense of expectation, some new sufficient conditions are developed to ensure stability of the addressed system with Zeno-free behavior. The Lyapunov-Razumikhin method is adopted to handle the time-varying delay in continuous dynamics, and the concept average random impulsive estimation (ARIE) is introduced to reduce the design requirements of the controller. Especially, the proposed ETDIC strategy not only generates the impulse sequence according to the predesigned ETM, but also removes the limitations on the of time delays. Furthermore, the ETM serves as a solution for synchronization problems complex neural networks. Finally, two examples are given to illustrate the effectiveness of conclusions.
Keyword ：
Average random impulsive estimation Average random impulsive estimation Event-triggered delayed impulsive control Event-triggered delayed impulsive control pth moment exponential stability pth moment exponential stability
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| GB/T 7714 | Xu, Junyan , Liu, Yang , Qiu, Jianlong et al. Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks [J]. | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2024 , 140 . |
| MLA | Xu, Junyan et al. "Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks" . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 140 (2024) . |
| APA | Xu, Junyan , Liu, Yang , Qiu, Jianlong , Lu, Jianquan . Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2024 , 140 . |
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In this paper, the pth moment exponential stability is investigated for impulsive stochastic time-delay systems (STDS) with random impulsive delay. A novel concept of average random delay in impulses is introduced to deal with the pth moment exponential stability of STDS, which provides a new idea for the study of the stochastic delay in impulses from a holistic perspective. Considering the impulsive effect, the destabilizing and stabilizing delayed impulses are studied, respectively. It is revealed that the random delay in impulses plays a significant role on the stability of the system, which may not only destabilize a stable system but also stabilize an unstable system. In particular, our results allow the delays in continuous dynamics and impulsive dynamics to exceed the length of the impulsive interval, which are more general than previous results. Finally, some numerical simulations are presented to illustrate our proposed results.(c) 2023 Elsevier Ltd. All rights reserved.
Keyword ：
Average impulsive interval Average impulsive interval Average random delay Average random delay pth moment exponential stability pth moment exponential stability Stochastic time -delay system Stochastic time -delay system
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| GB/T 7714 | Liu, Yang , Xu, Junyan , Lu, Jianquan et al. Stability of stochastic time-delay systems involving delayed impulses? [J]. | AUTOMATICA , 2023 , 152 . |
| MLA | Liu, Yang et al. "Stability of stochastic time-delay systems involving delayed impulses?" . | AUTOMATICA 152 (2023) . |
| APA | Liu, Yang , Xu, Junyan , Lu, Jianquan , Gui, Weihua . Stability of stochastic time-delay systems involving delayed impulses? . | AUTOMATICA , 2023 , 152 . |
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In this paper, we propose two kinds of single-species models with swapping migration and Allee effect. We aim to discuss how the Allee effect and swapping migration influence the above models’ dynamical behaviours. The existence and stability of equilibria are addressed under weak Allee effect and strong Allee effect, respectively. Also we investigate the occurrence of saddle-node bifurcation which doesn’t exist in the single-species Logistic model. The corresponding dynamical behaviors are richer and more interesting than those in the traditional logistic model with dispersal. We find that both Allee effect and dispersal, especially the capacity of respective patches can make the species 'unstable'. © (2023), (International Association of Engineers). All Rights Reserved.
Keyword ：
Bifurcation (mathematics) Bifurcation (mathematics)
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| GB/T 7714 | Chen, Ninghua , Chen, Lijuan , Xu, Junyan et al. Impact of Swapping Migration And Allee Effect in Single-species Model [J]. | IAENG International Journal of Applied Mathematics , 2023 , 53 (4) . |
| MLA | Chen, Ninghua et al. "Impact of Swapping Migration And Allee Effect in Single-species Model" . | IAENG International Journal of Applied Mathematics 53 . 4 (2023) . |
| APA | Chen, Ninghua , Chen, Lijuan , Xu, Junyan , Wu, Chunchen . Impact of Swapping Migration And Allee Effect in Single-species Model . | IAENG International Journal of Applied Mathematics , 2023 , 53 (4) . |
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We study stochastic phenomena for a model of bacterial infection and neutrophils defense. Sufficient conditions of stochastic permanence and extinction for the random model are discussed. To explore the effect of different noises on the bacteria dynamics, we estimate the confidence intervals by the Stochastic Sensitivity Function (SSF) technique. Numerical simulations show the dramatic change of bacterial concentration induced by noises, that is, the solution with initial value near the positive deterministic equilibrium can shift into the extinct zone due to the effect of noises. (C) 2020 Elsevier Inc. All rights reserved.
Keyword ：
Bacterial dynamics Bacterial dynamics Bacterial infection Bacterial infection Noise-induced extinction Noise-induced extinction Stochastic system Stochastic system Survival analysis Survival analysis
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| GB/T 7714 | Xu, Junyan , Zhang, Tonghua , Song, Keying . A stochastic model of bacterial infection associated with neutrophils [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2020 , 373 . |
| MLA | Xu, Junyan et al. "A stochastic model of bacterial infection associated with neutrophils" . | APPLIED MATHEMATICS AND COMPUTATION 373 (2020) . |
| APA | Xu, Junyan , Zhang, Tonghua , Song, Keying . A stochastic model of bacterial infection associated with neutrophils . | APPLIED MATHEMATICS AND COMPUTATION , 2020 , 373 . |
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Taking into account the environmental noises and Allee effect, we develop a regime switching model for a single species, and then we consider dynamics of species population, such as persistence, ergodicity and global attractivity. More precisely, firstly we prove the global existence of the positive solution, and then study the extinction of species, non-persistence in mean, persistence in mean and stochastic permanence. It is followed by the study of positive recurrence, ergodicity and the global attractivity. Finally, we conclude our study by a numerical example and discussions. (C) 2019 Elsevier B.V. All rights reserved.
Keyword ：
Allee effect Allee effect Ergodicity Ergodicity Positive recurrence Positive recurrence Regime switching Regime switching Stochastic model Stochastic model Survival analysis Survival analysis
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| GB/T 7714 | Xu, Junyan , Zhang, Tonghua , Han, Maoan . A regime switching model for species subject to environmental noises and additive Allee effect [J]. | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2019 , 527 . |
| MLA | Xu, Junyan et al. "A regime switching model for species subject to environmental noises and additive Allee effect" . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 527 (2019) . |
| APA | Xu, Junyan , Zhang, Tonghua , Han, Maoan . A regime switching model for species subject to environmental noises and additive Allee effect . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2019 , 527 . |
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研究一类具有无穷时滞的二维Gilpin-Ayala竞争系统,利用比较原理和振荡性原理,证明在一定条件下,系统中一种物种将绝灭,而另一物种趋于稳定.
Keyword ：
Gilpin-Ayala竞争系统 Gilpin-Ayala竞争系统 无穷时滞 无穷时滞 绝灭性 绝灭性
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| GB/T 7714 | 王丹红 , 许君雁 , 王海娜 . 一类推广的Gilpin-Ayala竞争系统的绝灭性 [J]. | 福州大学学报（自然科学版） , 2013 , 41 (6) : 967-971 . |
| MLA | 王丹红 et al. "一类推广的Gilpin-Ayala竞争系统的绝灭性" . | 福州大学学报（自然科学版） 41 . 6 (2013) : 967-971 . |
| APA | 王丹红 , 许君雁 , 王海娜 . 一类推广的Gilpin-Ayala竞争系统的绝灭性 . | 福州大学学报（自然科学版） , 2013 , 41 (6) , 967-971 . |
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This paper consider a class of bidirectional associative memory (BAM) cellular neural networks with delays. By using the fixed point theorem and differential inequality techniques, some new sufficient conditions are established for the existence, uniqueness and global exponential stability of the almost periodic solutions. The obtained sufficient conditions are easy to verify and our results complement previously known results. © 2012 IEEE.
Keyword ：
Associative processing Associative processing Asymptotic stability Asymptotic stability Cellular neural networks Cellular neural networks Fixed point arithmetic Fixed point arithmetic Manufacture Manufacture Time delay Time delay Time varying networks Time varying networks
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| GB/T 7714 | Chen, Ninghua , Xu, Junyan . Existence and exponential stability of almost periodic solutions for BAM cellular neural networks with time-varying delays and continuously distributed delays [C] . 2012 : 1-5 . |
| MLA | Chen, Ninghua et al. "Existence and exponential stability of almost periodic solutions for BAM cellular neural networks with time-varying delays and continuously distributed delays" . (2012) : 1-5 . |
| APA | Chen, Ninghua , Xu, Junyan . Existence and exponential stability of almost periodic solutions for BAM cellular neural networks with time-varying delays and continuously distributed delays . (2012) : 1-5 . |
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This paper considers the global exponential stability and exponential convergence rate of impulsive BAM neutral networks with continuously distributed delays in which the state variables on the impulses are related to the unbounded distributed delays. By establishing a new impulsive delay differential inequality, a new criterion concerning global exponential stability for these networks is derived, which generalize and improve the previously known results. © 2010 IEEE.
Keyword ：
Associative processing Associative processing Asymptotic stability Asymptotic stability Neural networks Neural networks Stability Stability
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| GB/T 7714 | Xu, Junyan . Exponential stability for impulsive bidirectional associative memory neural networks with continuously distributed delays [C] . 2010 : 767-771 . |
| MLA | Xu, Junyan . "Exponential stability for impulsive bidirectional associative memory neural networks with continuously distributed delays" . (2010) : 767-771 . |
| APA | Xu, Junyan . Exponential stability for impulsive bidirectional associative memory neural networks with continuously distributed delays . (2010) : 767-771 . |
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This paper considers the convergence behavior of delayed BAM cellular neural networks with asymptotically periodic coefficients. By applying mathematical analysis techniques, some new sufficient conditions are obtained to ensure that solutions of the networks converge to a periodic function. (C) 2009 Elsevier Inc. All rights reserved.
Keyword ：
Asymptotically periodic coefficients Asymptotically periodic coefficients CNNs CNNs Convergence Convergence Delays Delays
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| GB/T 7714 | Xu, Junyan , Chen, Lijuan , Li, Zhong . Convergence behavior of delayed bidirectional associative memory cellular neural networks with asymptotically periodic coefficients [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2009 , 215 (3) : 928-935 . |
| MLA | Xu, Junyan et al. "Convergence behavior of delayed bidirectional associative memory cellular neural networks with asymptotically periodic coefficients" . | APPLIED MATHEMATICS AND COMPUTATION 215 . 3 (2009) : 928-935 . |
| APA | Xu, Junyan , Chen, Lijuan , Li, Zhong . Convergence behavior of delayed bidirectional associative memory cellular neural networks with asymptotically periodic coefficients . | APPLIED MATHEMATICS AND COMPUTATION , 2009 , 215 (3) , 928-935 . |
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